%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP476-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eit5Bc5bty true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:31 PM UTC 2025
% Result : Unsatisfiable 6.41s 1.79s
% Output : Refutation 6.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP476-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eit5Bc5bty true
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:23:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.41/1.79 % Solved by fo/fo7.sh.
% 6.41/1.79 % done 186 iterations in 0.986s
% 6.41/1.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.41/1.79 % SZS output start Refutation
% 6.41/1.79 thf(b2_type, type, b2: $i).
% 6.41/1.79 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.41/1.79 thf(inverse_type, type, inverse: $i > $i).
% 6.41/1.79 thf(divide_type, type, divide: $i > $i > $i).
% 6.41/1.79 thf(a2_type, type, a2: $i).
% 6.41/1.79 thf(single_axiom, axiom,
% 6.41/1.79 (( divide @
% 6.41/1.79 ( inverse @
% 6.41/1.79 ( divide @ ( divide @ ( divide @ A @ B ) @ C ) @ ( divide @ D @ C ) ) ) @
% 6.41/1.79 ( divide @ B @ A ) ) =
% 6.41/1.79 ( D ))).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl5, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X4 @ X5) @ (divide @ X2 @ X3)) @ X0)) @
% 6.41/1.79 (divide @ X5 @ X4))
% 6.41/1.79 = (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X3 @ X2) @ X1) @ (divide @ X0 @ X1))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl76, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 6.41/1.79 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 6.41/1.79 = (X3))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl4, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @ (divide @ (divide @ X0 @ X5) @ (divide @ X1 @ X5))) @
% 6.41/1.79 (divide @ (divide @ X3 @ X4) @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ (divide @ X0 @ X2)))))
% 6.41/1.79 = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl107, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @ X0 @
% 6.41/1.79 (divide @ (divide @ X4 @ X5) @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 6.41/1.79 (divide @ (divide @ X1 @ X2) @ X3)))))
% 6.41/1.79 = (divide @ X0 @ (divide @ X2 @ X1)))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl4])).
% 6.41/1.79 thf(zip_derived_cl5, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X4 @ X5) @ (divide @ X2 @ X3)) @ X0)) @
% 6.41/1.79 (divide @ X5 @ X4))
% 6.41/1.79 = (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X3 @ X2) @ X1) @ (divide @ X0 @ X1))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl6, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (divide @ X3 @ X2) @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 6.41/1.79 (divide @ X0 @ X4)))) @
% 6.41/1.79 X5) @
% 6.41/1.79 (divide @ X1 @ X5))) @
% 6.41/1.79 X0) = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl58, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @
% 6.41/1.79 (divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X3 @ X4) @ X5) @
% 6.41/1.79 (divide @ X6 @ X5))) @
% 6.41/1.79 (divide @ X4 @ X3))) @
% 6.41/1.79 X2)) @
% 6.41/1.79 (divide @ X1 @ X0)) @
% 6.41/1.79 X6) = (X2))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl103, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 6.41/1.79 (divide @ X1 @ X0)) @
% 6.41/1.79 X6) = (X2))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl103, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 6.41/1.79 (divide @ X1 @ X0)) @
% 6.41/1.79 X6) = (X2))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl153, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ (inverse @ (divide @ X0 @ X1)) @
% 6.41/1.79 (divide @ (divide @ X3 @ X4) @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 6.41/1.79 X2) = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 6.41/1.79 thf(zip_derived_cl660, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 6.41/1.79 X7 : $i, X8 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ (inverse @ (divide @ X2 @ (divide @ X1 @ X0))) @
% 6.41/1.79 (divide @ (divide @ X7 @ X8) @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X8 @ X7) @ X6) @ X2)))) @
% 6.41/1.79 X6)
% 6.41/1.79 = (divide @ (divide @ X4 @ X5) @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl153])).
% 6.41/1.79 thf(zip_derived_cl153, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ (inverse @ (divide @ X0 @ X1)) @
% 6.41/1.79 (divide @ (divide @ X3 @ X4) @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 6.41/1.79 X2) = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 6.41/1.79 thf(zip_derived_cl796, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @ X1 @ X0)
% 6.41/1.79 = (divide @ (divide @ X4 @ X5) @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl660, zip_derived_cl153])).
% 6.41/1.79 thf(zip_derived_cl103, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 6.41/1.79 (divide @ X1 @ X0)) @
% 6.41/1.79 X6) = (X2))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl889, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ (inverse @ (divide @ X1 @ X0)) @ (divide @ X3 @ X4)) @ X5)
% 6.41/1.79 = (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X5 @ (divide @ X4 @ X3)) @ X2) @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ X2))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl103])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl1170, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (inverse @ (divide @ X4 @ X3)) @ (divide @ X2 @ X1)) @ X0) @
% 6.41/1.79 (divide @ (divide @ X1 @ X2) @ X0)) = (divide @ X3 @ X4))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl796, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @ X1 @ X0)
% 6.41/1.79 = (divide @ (divide @ X4 @ X5) @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl660, zip_derived_cl153])).
% 6.41/1.79 thf(zip_derived_cl1618, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @ X3 @ X4)
% 6.41/1.79 = (divide @
% 6.41/1.79 (divide @ (divide @ X3 @ X4) @ (inverse @ (divide @ X0 @ X1))) @
% 6.41/1.79 (inverse @ (divide @ X1 @ X0))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl796])).
% 6.41/1.79 thf(zip_derived_cl103, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 6.41/1.79 (divide @ X1 @ X0)) @
% 6.41/1.79 X6) = (X2))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl76, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 6.41/1.79 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 6.41/1.79 = (X3))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl152, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((inverse @
% 6.41/1.79 (divide @ X0 @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ X1 @
% 6.41/1.79 (divide @ (divide @ X3 @ X4) @
% 6.41/1.79 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 6.41/1.79 X2)))
% 6.41/1.79 = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl76])).
% 6.41/1.79 thf(zip_derived_cl1958, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((inverse @
% 6.41/1.79 (divide @ (inverse @ (divide @ X3 @ X4)) @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ X2 @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0)))) @
% 6.41/1.79 (inverse @ (divide @ X4 @ X3)))))
% 6.41/1.79 = (X2))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl1618, zip_derived_cl152])).
% 6.41/1.79 thf(zip_derived_cl1170, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (inverse @ (divide @ X4 @ X3)) @ (divide @ X2 @ X1)) @ X0) @
% 6.41/1.79 (divide @ (divide @ X1 @ X2) @ X0)) = (divide @ X3 @ X4))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl1614, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @ (inverse @ (divide @ X1 @ X0)) @
% 6.41/1.79 (divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X0 @ X1))))
% 6.41/1.79 = (divide @ X3 @ X2))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2108, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.41/1.79 ((inverse @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 6.41/1.79 = (X2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl1958, zip_derived_cl1614])).
% 6.41/1.79 thf(zip_derived_cl6, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (divide @ X3 @ X2) @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 6.41/1.79 (divide @ X0 @ X4)))) @
% 6.41/1.79 X5) @
% 6.41/1.79 (divide @ X1 @ X5))) @
% 6.41/1.79 X0) = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2295, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ X4 @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X0 @ X1) @ X2) @
% 6.41/1.79 (divide @ X3 @ X2))) @
% 6.41/1.79 (divide @ X1 @ X0)))) @
% 6.41/1.79 X3) = (X4))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2108, zip_derived_cl6])).
% 6.41/1.79 thf(zip_derived_cl0, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (inverse @
% 6.41/1.79 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 6.41/1.79 (divide @ X2 @ X1)) = (X0))),
% 6.41/1.79 inference('cnf', [status(esa)], [single_axiom])).
% 6.41/1.79 thf(zip_derived_cl2358, plain,
% 6.41/1.79 (![X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2108, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.41/1.79 ((inverse @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 6.41/1.79 = (X2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl1958, zip_derived_cl1614])).
% 6.41/1.79 thf(zip_derived_cl2358, plain,
% 6.41/1.79 (![X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2108, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.41/1.79 ((inverse @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 6.41/1.79 = (X2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl1958, zip_derived_cl1614])).
% 6.41/1.79 thf(zip_derived_cl2455, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 6.41/1.79 thf(zip_derived_cl2455, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 6.41/1.79 thf(zip_derived_cl2500, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.41/1.79 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 6.41/1.79 = (X2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 6.41/1.79 thf(zip_derived_cl2500, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.41/1.79 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 6.41/1.79 = (X2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 6.41/1.79 thf(zip_derived_cl3054, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.41/1.79 ((divide @ X1 @
% 6.41/1.79 (divide @
% 6.41/1.79 (divide @ X0 @ (divide @ (divide @ X3 @ X2) @ (divide @ X3 @ X2))) @
% 6.41/1.79 X0))
% 6.41/1.79 = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2500, zip_derived_cl2500])).
% 6.41/1.79 thf(zip_derived_cl2500, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.41/1.79 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 6.41/1.79 = (X2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 6.41/1.79 thf(zip_derived_cl3069, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl3054, zip_derived_cl2500])).
% 6.41/1.79 thf(zip_derived_cl2358, plain,
% 6.41/1.79 (![X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2358, plain,
% 6.41/1.79 (![X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2427, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((divide @ X0 @ X1) = (divide @ X0 @ (inverse @ (inverse @ X1))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2358])).
% 6.41/1.79 thf(zip_derived_cl2455, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 6.41/1.79 thf(zip_derived_cl2512, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ (divide @ X1 @ X0))
% 6.41/1.79 = (divide @ (inverse @ (inverse @ X0)) @ X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2455])).
% 6.41/1.79 thf(zip_derived_cl2455, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 6.41/1.79 thf(zip_derived_cl2528, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((divide @ X0 @ X1) = (divide @ (inverse @ (inverse @ X0)) @ X1))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl2512, zip_derived_cl2455])).
% 6.41/1.79 thf(zip_derived_cl2427, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((divide @ X0 @ X1) = (divide @ X0 @ (inverse @ (inverse @ X1))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2358])).
% 6.41/1.79 thf(zip_derived_cl2358, plain,
% 6.41/1.79 (![X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2513, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2358])).
% 6.41/1.79 thf(zip_derived_cl2565, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0))
% 6.41/1.79 = (inverse @ (inverse @ X1)))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2528, zip_derived_cl2513])).
% 6.41/1.79 thf(zip_derived_cl2513, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2358])).
% 6.41/1.79 thf(zip_derived_cl2583, plain,
% 6.41/1.79 (![X1 : $i]: ((X1) = (inverse @ (inverse @ X1)))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl2565, zip_derived_cl2513])).
% 6.41/1.79 thf(zip_derived_cl2358, plain,
% 6.41/1.79 (![X3 : $i, X4 : $i]:
% 6.41/1.79 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 6.41/1.79 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 6.41/1.79 thf(zip_derived_cl2455, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 6.41/1.79 thf(zip_derived_cl2505, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ X0) = (divide @ X1 @ (divide @ X0 @ (inverse @ X1))))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2455])).
% 6.41/1.79 thf(prove_these_axioms_2, conjecture,
% 6.41/1.79 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 6.41/1.79 thf(zf_stmt_0, negated_conjecture,
% 6.41/1.79 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 6.41/1.79 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 6.41/1.79 thf(zip_derived_cl2, plain,
% 6.41/1.79 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 6.41/1.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.41/1.79 thf(multiply, axiom,
% 6.41/1.79 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 6.41/1.79 thf(zip_derived_cl1, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 6.41/1.79 inference('cnf', [status(esa)], [multiply])).
% 6.41/1.79 thf(zip_derived_cl1, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 6.41/1.79 inference('cnf', [status(esa)], [multiply])).
% 6.41/1.79 thf(zip_derived_cl3, plain,
% 6.41/1.79 (((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @ (inverse @ a2))
% 6.41/1.79 != (a2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 6.41/1.79 thf(zip_derived_cl2620, plain,
% 6.41/1.79 (![X0 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ (divide @ X0 @ (divide @ b2 @ (inverse @ X0))) @
% 6.41/1.79 (inverse @ b2)) @
% 6.41/1.79 (inverse @ a2)) != (a2))),
% 6.41/1.79 inference('sup-', [status(thm)], [zip_derived_cl2505, zip_derived_cl3])).
% 6.41/1.79 thf(zip_derived_cl2679, plain,
% 6.41/1.79 (![X0 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ (divide @ (inverse @ X0) @ (divide @ b2 @ X0)) @
% 6.41/1.79 (inverse @ b2)) @
% 6.41/1.79 (inverse @ a2)) != (a2))),
% 6.41/1.79 inference('sup-', [status(thm)], [zip_derived_cl2583, zip_derived_cl2620])).
% 6.41/1.79 thf(zip_derived_cl3132, plain,
% 6.41/1.79 (![X0 : $i]:
% 6.41/1.79 ((divide @
% 6.41/1.79 (divide @ (divide @ (inverse @ (divide @ X0 @ X0)) @ b2) @
% 6.41/1.79 (inverse @ b2)) @
% 6.41/1.79 (inverse @ a2)) != (a2))),
% 6.41/1.79 inference('sup-', [status(thm)], [zip_derived_cl3069, zip_derived_cl2679])).
% 6.41/1.79 thf(zip_derived_cl2455, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 6.41/1.79 thf(zip_derived_cl2513, plain,
% 6.41/1.79 (![X0 : $i, X1 : $i]:
% 6.41/1.79 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 6.41/1.79 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2358])).
% 6.41/1.79 thf(zip_derived_cl3150, plain,
% 6.41/1.79 (![X0 : $i]: ((divide @ (divide @ X0 @ X0) @ (inverse @ a2)) != (a2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl3132, zip_derived_cl2455, zip_derived_cl2513])).
% 6.41/1.79 thf(zip_derived_cl3152, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 6.41/1.79 inference('sup-', [status(thm)], [zip_derived_cl2358, zip_derived_cl3150])).
% 6.41/1.79 thf(zip_derived_cl2583, plain,
% 6.41/1.79 (![X1 : $i]: ((X1) = (inverse @ (inverse @ X1)))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl2565, zip_derived_cl2513])).
% 6.41/1.79 thf(zip_derived_cl3157, plain, (((a2) != (a2))),
% 6.41/1.79 inference('demod', [status(thm)],
% 6.41/1.79 [zip_derived_cl3152, zip_derived_cl2583])).
% 6.41/1.79 thf(zip_derived_cl3158, plain, ($false),
% 6.41/1.79 inference('simplify', [status(thm)], [zip_derived_cl3157])).
% 6.41/1.79
% 6.41/1.79 % SZS output end Refutation
% 6.41/1.79
% 6.41/1.79
% 6.41/1.79 % Terminating...
% 6.69/1.98 % Runner terminated.
% 6.69/1.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------